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Finding the Third Proportional to 245,052 and 520,344

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Solution

The third proportional to 245,052 and 520,344 is: 1,104,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,052 : 520,344 = 520,344 : x
  2. Step 2: Convert to fraction form
    245,052/520,344 = 520,344/x
  3. Step 3: Cross multiply
    245,052x = 520,344 × 520,344
  4. Step 4: Simplify right side
    245,052x = 270,757,878,336
  5. Step 5: Solve for x
    x = 270,757,878,336/245,052
  6. Step 6: Final answer
    x = 1,104,899.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.